On the Non‐Dimensionalization and Mathematical Equivalence of MHD Nanofluid Jeffery–Hamel Flow

ABSTRACT

Magnetohydrodynamic (MHD) nanofluid flows are commonly modeled through two‐point boundary value problems related to the velocity field. This article uncovers and corrects mathematical inconsistencies in the non‐dimensionalized governing equation and in the definition of the Hartmann number appearing in recent literature. To the author's knowledge, this is the first article to identify and correct inconsistencies in the commonly cited nondimensional form of the MHD nanofluid Jeffery–Hamel equation and to establish its exact equivalence with the classical MHD Jeffery–Hamel formulation through an explicit parameter transformation. The ideas contribute to a wider scientific discussion by applying rigorous methods to establish mathematical forms that accurately support future research. It is further shown that the governing equations for MHD nanofluid flows can be brought into complete alignment with the classical MHD Jeffrey–Hamel equation through an appropriate scaling involving the Reynolds and Hartmann numbers. This equivalence establishes a direct connection between nanofluid models and the canonical MHD Jeffrey–Hamel framework, thereby enabling the transfer of existing analytical results and theoretical insights to nanofluid applications.